Finding the Third Proportional to 21,166 and 31,645

Step by Step Solution

1. Step 1: Write the proportion equation
   21,166 : 31,645 = 31,645 : x
2. Step 2: Convert to fraction form
   21,166/31,645 = 31,645/x
3. Step 3: Cross multiply
   21,166x = 31,645 × 31,645
4. Step 4: Simplify right side
   21,166x = 1,001,406,025
5. Step 5: Solve for x
   x = 1,001,406,025/21,166
6. Step 6: Final answer
   x = 47,312.01